Prism is a three-dimensional solid object in which the two ends are exactly of the same shape. It is the combination of the flat faces, identical bases and same cross-sections. The faces are parallelograms without the bases. If you take the cross-section of the prism parallel to the bases, the cross-sections will look like the bases. In this article, let us have a complete explanation about the types and also how to find the volume and area of a prism.
Types of Prism
Depends upon the shape of the bases, the prisms are named. It is of two types, namely
- Regular Prism
- Irregular Prism
Regular Prism: If the bases of the prism are a regular polygon, it is called regular prism
Irregular Prism: If the bases are an irregular polygon, then the prism is called as an irregular prism.
Right Prism Vs Oblique Prism
Apart from this, the prism can be classified into
- Right Prism
- Oblique Prism
|Right Prism||Oblique Prism|
|If the faces and the joining edges are perpendicular to the base faces, then it is known as right prism||If the faces and the joining edges are not perpendicular to the base faces, then it is known as oblique prism|
|In right prism, the side faces are rectangles||In an oblique prism, the side faces are parallelograms|
Based on the shape of the bases, it is further categorised in different types, namely
|Prism Type||Base Shape|
Surface Area of a Prism
For any kind of prism, the surface area can be found using the formula
Surface Area of a Prism = 2(Base Area)+ (Base perimeter × length)
Volume of a Prism
The volume of the prism is defined as the product of the base area and the prism height
The volume of Prism = Base Area × Height
For example, if you want to find the volume of a square prism, you must know the area of a square, then its volume can be calculated as follows:
The volume of a square Prism = Area of square×height
V = s2 × h cubic units
Where “s” is the side of a square.
Find the volume of a triangular prism whose area is 60cm2 and height is 7cm?
Area = 60 cm2
Height = 7 cm
We know that,
The volume of a prism = Base area × Height cubic units
Therefore, V = 60 ×7 = 420
Hence, the volume of a triangular prism = 420 cm3.
Find the height of the square prism whose volume is 360 cm3 and the base area is 60 cm2?
The volume of a square prism = 360cm3
Base Area = 60cm2
Therefore, the height of the square prism is calculated as follows:
The volume of square prism = Base area × height
360 = 60 × prism height
Therefore, the height,h = 360/60
Prism Height, h = 6 cm.
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